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Find the greatest number consisting of 6 digits which is exactly divisible by 24,15,36?

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The greatest number of 6 digits is 999999.

The greatest number must be divisible by L.C.M. of 24, 15 and 36

24 = 23 x 3

15 = 3 x 5

36 = 2 x 3

L.C.M = 2 x 3 x 5

= 360

To find the greatest number 999999 must be subtracted by the remainder when 999999 is divided by 360

The greatest number in 6 digits = 999999 – 279 = 999720

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